Triangle calculator

Please enter what you know about the triangle:
You have entered height ha, height hb and height hc.

Acute scalene triangle.

Sides: a = 264.3933198314   b = 254.2244229148   c = 132.1976599157

Area: T = 16524.57548946
Perimeter: p = 650.8144026618
Semiperimeter: s = 325.4077013309

Angle ∠ A = α = 79.54106163266° = 79°32'26″ = 1.3888245644 rad
Angle ∠ B = β = 71.00875361503° = 71°27″ = 1.23993152996 rad
Angle ∠ C = γ = 29.45218475231° = 29°27'7″ = 0.51440317101 rad

Height: ha = 125
Height: hb = 130
Height: hc = 250

Median: ma = 153.548806716
Median: mb = 165.9298787135
Median: mc = 250.794448916

Inradius: r = 50.781125
Circumradius: R = 134.4330314066

Vertex coordinates: A[132.1976599157; 0] B[0; 0] C[86.04551237116; 250]
Centroid: CG[72.74772409561; 83.33333333333]
Coordinates of the circumscribed circle: U[66.09882995784; 117.0587781172]
Coordinates of the inscribed circle: I[71.18327841614; 50.781125]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 100.4599383673° = 100°27'34″ = 1.3888245644 rad
∠ B' = β' = 108.992246385° = 108°59'33″ = 1.23993152996 rad
∠ C' = γ' = 150.5488152477° = 150°32'53″ = 0.51440317101 rad

How did we calculate this triangle?

1. Input data entered: height ha, height hb and height hc. 2. From height ha, height hb and height hc we calculate area T:  3. From area T and height ha we calculate side a: 4. From area T and height hb we calculate side b: 5. From area T and height hc we calculate side c: Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 6. The triangle circumference is the sum of the lengths of its three sides 7. Semiperimeter of the triangle 8. The triangle area using Heron's formula 9. Calculate the heights of the triangle from its area. 10. Calculation of the inner angles of the triangle using a Law of Cosines     